Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9922/580,6068/9779
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9922,6068
Greatest Common Factor of Numerators i.e. GCF of 9922,6068 is 82 .
LCM of Denominators means LCM of 580,9779 as per the given fractions.
LCM of 580,9779 is 5671820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9922,6068
2 | 9922, 6068 |
41 | 4961, 3034 |
121, 74 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Factors of 9922
List of positive integer factors of 9922 that divides 9922 without a remainder.
1,2,11,22,41,82,121,242,451,902,4961,9922
Factors of 6068
List of positive integer factors of 6068 that divides 6068 without a remainder.
1,2,4,37,41,74,82,148,164,1517,3034,6068
Greatest Common Factor
We found the factors 9922,6068 . The biggest common factor number is the GCF number.
So the greatest common factor 9922,6068 is 82.
Lets's calculate LCM of 580,9779
Given numbers has no common factors except 1. So, there LCM is their product i.e 5671820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/5671820
Therefore, the GCF of Fractions 9922/580,6068/9779 is 82/5671820
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 580,9779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,9779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,9779) x common factors =1 x 1 = 1
LCM(580,9779) = ( 580 × 9779 ) / 1
LCM(580,9779) = 5671820 / 1
LCM(580,9779) = 5671820
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9922/580, 6068/9779?
Answer: GCF of Numerators as per given numbers 9922/580, 6068/9779 is
GCF of Numerators i.e. for 9922,6068 is 82
LCM of denominators i.e. for 580,9779 is 5671820.
Thus, GCF of Fractions is 82/5671820.Finally, GCF of Fractions for 9922/580, 6068/9779 is 82/5671820.